I'm not sure how the differential geometry proof will work since I have not studied it yet but what will happen if you take a regular geometric proof and try to translate it into differential geometry lingo?
I've a math problem that I like to solve.
Let be a line and let be a point. Show that the orthogonal projection
of onto is the unique point on for which the distance from
to is minimized.
Is it possible to tell me how I can prove this using differential geometry?
I'm not sure how the differential geometry proof will work since I have not studied it yet but what will happen if you take a regular geometric proof and try to translate it into differential geometry lingo?
Why would one even consider "differential geometry" when the Pythagorean theorem gives it easily? In any right triangle, so the hypotenuse is longer than either of the two legs.